Explicação passo-a-passo:
a)
[tex] log_{5}5 + log_{3}1 - log_{}10 \\ 1 + 0 - 1 \\ 0 [/tex]
b)
[tex] log_{ \frac{1}{4} }4 + log_{4} \frac{1}{4} \\ 2log_{ \frac{1}{4} }2 + \frac{1}{2} log_{2} \frac{1}{4} \\ 2 log_{ {4}^{ - 1} } + \frac{1}{2} log_{2} {4}^{ - 1} \\ - \frac{1}{2} 2 + 2 \frac{1}{ - 1} \frac{1}{2} log_{2}2 \\ - 1 - 2 \frac{1}{2} \\ - 1 - 1 \\ - 2[/tex]
c)
[tex] log1000 + log100 + log10 + log1 \\ 3 + 2 + 1 + 0 \\ 6[/tex]
Espero ter ajudado.
[tex]~~~~\huge\sf\large\boxed{{\sf log_{ 5 }(5) + log_{3}( 1) - log_{10}(10) {}}} \\ \\ \sf1 + log_{3}(1) - 1 \\ \sf log_{3}(1) \\ \sf0 \\ [/tex]
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[tex]~~~~\huge\sf\large\boxed{{\sf log_{ \frac{1}{4} }(4) + log_{4}( \frac{1}{4} ) {}}} \\ \\ \sf log_{ {2}^{ - 2} }( {2}^{2} ) + log_{ {2}^{2} }( {2}^{ - 2} ) \\ \sf- 1 + log_{ {2}^{2} }( {2}^{ - 2} ) \\ \sf - 1 - 1 \\ \sf - 2[/tex]
[tex]~~~~\huge\sf\large\boxed{{\sf log_{10 }(1000) + log_{10}( 100) + log_{10}(10) + log_{10}(1) {}}} \\ \\ \sf log_{10}( {10}^{3} ) + log_{10}( {10}^{2} ) + 1 + 0 \\ \sf log_{10}( {10}^{3} ) + log_{10}( {10}^{2} ) + 1 \\ \sf3 + log_{10}( {10}^{2} ) + 1 \\ \sf3 + 2 + 1 \\ \sf6 \\ [/tex]
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Verified answer
a) 0
b) -2
c) 6
Explicação passo-a-passo:
a)
[tex] log_{5}5 + log_{3}1 - log_{}10 \\ 1 + 0 - 1 \\ 0 [/tex]
b)
[tex] log_{ \frac{1}{4} }4 + log_{4} \frac{1}{4} \\ 2log_{ \frac{1}{4} }2 + \frac{1}{2} log_{2} \frac{1}{4} \\ 2 log_{ {4}^{ - 1} } + \frac{1}{2} log_{2} {4}^{ - 1} \\ - \frac{1}{2} 2 + 2 \frac{1}{ - 1} \frac{1}{2} log_{2}2 \\ - 1 - 2 \frac{1}{2} \\ - 1 - 1 \\ - 2[/tex]
c)
[tex] log1000 + log100 + log10 + log1 \\ 3 + 2 + 1 + 0 \\ 6[/tex]
Espero ter ajudado.
Olá
a)
[tex]~~~~\huge\sf\large\boxed{{\sf log_{ 5 }(5) + log_{3}( 1) - log_{10}(10) {}}} \\ \\ \sf1 + log_{3}(1) - 1 \\ \sf log_{3}(1) \\ \sf0 \\ [/tex]
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b)
[tex]~~~~\huge\sf\large\boxed{{\sf log_{ \frac{1}{4} }(4) + log_{4}( \frac{1}{4} ) {}}} \\ \\ \sf log_{ {2}^{ - 2} }( {2}^{2} ) + log_{ {2}^{2} }( {2}^{ - 2} ) \\ \sf- 1 + log_{ {2}^{2} }( {2}^{ - 2} ) \\ \sf - 1 - 1 \\ \sf - 2[/tex]
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c)
[tex]~~~~\huge\sf\large\boxed{{\sf log_{10 }(1000) + log_{10}( 100) + log_{10}(10) + log_{10}(1) {}}} \\ \\ \sf log_{10}( {10}^{3} ) + log_{10}( {10}^{2} ) + 1 + 0 \\ \sf log_{10}( {10}^{3} ) + log_{10}( {10}^{2} ) + 1 \\ \sf3 + log_{10}( {10}^{2} ) + 1 \\ \sf3 + 2 + 1 \\ \sf6 \\ [/tex]